Hypothesis testing an average 1. A Hail Mary is a last effort attempt at scoring in a football game usually done as the time is running out. It consists of sending as many players of the offense into the endzone and letting the quarterback make a coin ip pass attempt to win the game. Since this usually requires a very deep ball (passing from far away) it is very important to have a good idea of how far the quarterback can actually throw the ball, particularly in an endgame situation. You are an intern for the OSU football team and are tasked with evaluating whether the quarterback C.J. Stroud can throw the ball over 60 yards on average in an endgame situation, coaching believes this is the case and wants to see evidence of it. You are able to collect data by having him throw a couple passes as far as he can at the end of practice for a week and measuring the distance of these. In total you observe 36 of these passes, nding a sample average for all out pass distance of ppm = 63. 5 and a sample standard deviation of 0pm = 2. 3, the population standard deviation is unknown. a. Set up the null hypothesis Ho and the alternative hypothesis HA for this test. b. Calculate the test statistic for this test. 0. Find the appropriate tvalue if you want to carry out this test at the 95% condence level. d. Evaluate the result of this hypothesis test. What can you conclude about the quarterback's \"all on \" passing distance